A spherical glass vessel has a cylindrical neck 8 cm long,2 cm in diameter,the diameter of the spherical part is 8.5cm.By measuring the amount of water it holds,a child finds its volume to be `345cm^3`.Check whether she is correct,taking the above as the inside measurements,and `pi=3.14`.

A sphere of diameter 12 cm is dropped in a right circular cylindrical vessel, partly filled with water. If the sphere is completely submerged in water the water level in the cylindrical vessel rises by 3 5/9 cm . Find the diameter of the cylindrical vessel.

A sphere of diameter 12 cm is dropped in the right circular cylindrical vessel partly filled with water. If the sphere is completely submerged in water, the water level in the cylindrical vessel rises by 3 5/9 cm . Find the diameter of the cylindrical vessel.

Rachel,an engineering student,was asked to make a model shaped like a cyclinder with two cones attached at its two ends by using a thin aluminium sheet.The diameter of the model is 3 cm and its length is 12cm.If each cone has a height of 2 cm,find the volume of air contained in the model that Rachel made.(Assume the outer and inner dimensions of the model to be nearly the same).

Diamter of cylinder A is 7cm, and the height is 14cm. Diameter of cylinder B is 14 cm and height is 7cm. Without doing any calculations can you suggest whose volume is greater? Verify it by finding the volume of both the cylinders. Check whether the cylinder with greater volume also has greater surface area?

A solid is in the form of a right-circular cone mounted on a hemisphere. The radius of the hemisphere is 2.1 cm and height of the cone is 2 cm. The solid is placed in a cylindrical tub full of water in such a way that the solid is fully submerged in water. If the radius of the cylinder is 5 cm and its height is 9.8 cm, find the volume of the water left in the tub..

A bucket is in the form of a frustum of a cone with capacity of 12,308.8 cm^3 of water. The radii of the top and bottom circular ends are 20 cm and 12 cm respectively. Find the height of the bucket and the area of the metal sheet used in its making (pi = 3.14) .

A solid iron pole consists of a cylinder of height 220cm and base diameter 24 cm,which is surmounted by another cylinder of height 60cm and radius 8 cm.Find the mass of the pole,given that 1cm^3 of iron has approximately 8g mass.(use pi=3.14 ).

A cylindrical tub of radius 5 cm and length 9.8 cm is full of water. A solid is in the form of a right circular cone mounted on a hemisphere is immersed into the tub. If the radius of the hemisphere is 3.5 cm and the height of the cone outside the hemisphere is 5 cm, find the volume of water left on the tub. (Use pi = 22/7 )

Find how many spherical cartridges of diameter 4.2 cm.each can be made from a solid cuboid of size 66cmxx42cmxx21cm?=58212cm^3

A cylindrical tub of radius 5 cm and length 9.8 cm is full of water. A solid in the form of a right circular cone mounted on a hemisphere is immersed into the tub. If the radius of the hemisphere is 3.5 cm and height of the cone outside the hemisphere is 5 cm, find the volume of water left in the tub.